分段Hermite插值多项式求解交叉梁系的动力反应

A solution to grid dynamic response based on Hermite piecewise polynomial

在求解交叉梁系力反应的Ｄｕｈａｍｅｌ积分中利用分段三次Ｈｅｒｍｉｔｅ插值多项式逼近任意动力荷载，推导了相关公式．当动力荷载力分段三次或三次以下的多项式时．Ｄｕｈａｍｅｌ积分是有精确解，因而与一般的数值积分法和逐步积分法相比，本方法不但具有较高的计算精度，而且大大减少了计算工作量．

Abstract The three order Hermite piecewise interpolating polynomial is employed to approximate arbitrary dynamic loads in the Duhamel integration for the solution of dynamic response of grid systems. The relative formulas are derived. Because theDuhamel integration of piecewise polynomial is exact, the proposed solution has thehigher accuracy and invooles less calculations than traditional step - by -step integration and numerical integration solution.